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On unified boundary conditions for improved predictions of near-wall turbulence

Published online by Cambridge University Press:  01 July 2010

S. JAKIRLIĆ  and
J. JOVANOVIĆ
S. JAKIRLIĆ*
Affiliation:
Institute of Fluid Mechanics and Aerodynamics, Technische Universität Darmstadt, Petersenstrasse 30, D-64287 Darmstadt, Germany Center of Smart Interfaces, Technische Universität Darmstadt, Petersenstrasse 32, D-64287 Darmstadt, Germany
J. JOVANOVIĆ
Affiliation:
Institute of Fluid Mechanics, Friedrich-Alexander University of Erlangen-Nuremberg, Cauerstrasse 4, D-91058 Erlangen, Germany Center of Smart Interfaces, Technische Universität Darmstadt, Petersenstrasse 32, D-64287 Darmstadt, Germany
*
†Email address for correspondence: [email protected]
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Abstract

A novel formulation of the wall boundary conditions relying on the asymptotic behaviour of the Taylor microscale λ and its relationship to the homogeneous part of the viscous dissipation rate of the kinetic energy of turbulence εh =5νq2/λ2, applicable to near-wall turbulence, is examined. The linear dependence of λ on the wall distance in close proximity to the solid surface enables the wall-closest grid node to be positioned immediately below the edge of the viscous sublayer, leading to a substantial coarsening of the grid resolution. This approach provides bridging of a major portion of the viscous sublayer, higher grid flexibility and weaker sensitivity against the grid non-uniformities in the near-wall region. The performance of the proposed formulation was checked against available direct numerical simulation databases of complex wall-bounded flows featured by swirl and separation.

JFM classification

Turbulent Flows: Turbulence modelling
Type
Papers
Information
Journal of Fluid Mechanics , Volume 656 , 10 August 2010 , pp. 530 - 539
Copyright
Copyright © Cambridge University Press 2010

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References

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